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对求解对称三对角矩阵特征值区间分半法的探讨 被引量:2
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作者 韦增欣 覃炜达 杨志梅 《重庆理工大学学报(自然科学)》 CAS 2011年第1期113-116,共4页
研究了一种特殊的对称三对角矩阵,在其顺序主子阵的特征值不满足严格交织的条件下,证明了区间分半法仍适用于求解它的特征值。
关键词 区间半分法 严格交织 变号数 特征多项式序列
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q-Stancu算子的保形性及收敛定理
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作者 云连英 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2009年第3期254-258,共5页
给出了基于q-整数的Stancu算子Ln(.,q),同时研究了该算子的一些基本性质.首先,利用q-Stancu算子作用于某一函数f(x)以后Ln(f,q;x)与f(x)变号数的关系,得到了该算子的保形性定理.其次,通过精细的不等式放缩,该算子作用于一般的连续函数... 给出了基于q-整数的Stancu算子Ln(.,q),同时研究了该算子的一些基本性质.首先,利用q-Stancu算子作用于某一函数f(x)以后Ln(f,q;x)与f(x)变号数的关系,得到了该算子的保形性定理.其次,通过精细的不等式放缩,该算子作用于一般的连续函数后收敛于一极限算子,而不像一般算子那样收敛于函数本身,并用光滑模刻画了其收敛速度. 展开更多
关键词 STANCU算子 q-整数 保形性 变号数 收敛速度
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Evaluating instrumented Charpy impact strain signals using curve fitting equations 被引量:1
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作者 M.B.Ali S.Abdullah +2 位作者 M.Z.Nuawi A.K.Ariffin Z.M.Nopiah 《Journal of Central South University》 SCIE EI CAS 2014年第2期600-609,共10页
An effective and simple way to develop equations from impact strain signals was proposed.Little research has been performed in this area,but this equation is very important for evaluating input signals in finite eleme... An effective and simple way to develop equations from impact strain signals was proposed.Little research has been performed in this area,but this equation is very important for evaluating input signals in finite element analysis impact tests and for obtaining additional information on material deformation and fracture processes under impact loading.For this purpose,dynamic impact responses were examined through signals obtained from a strain gauge installed on an impact striker connected to a data acquisition system.Aluminium 6061-T6 was used to extract strain responses on the striker during Charpy impact testing.Statistical analysis was performed using the I-kaz method,and curve fitting equations based on the equation for vibration response under a non-periodic force were used to evaluate the Charpy impact signals.The I-kaz coefficients and curve fitting equations were then compared and discussed with related parameters,such as velocities and thicknesses.Velocity and thickness were found to be related to the strain signal patterns,curve fitting equations and I-kaz coefficients.The equations developed using this method had R2 values greater than 97.7%.Finally,the constructed equations were determined to be suitable for evaluating Charpy impact strain signal patterns and obtaining additional information on fracture processes under impact loading. 展开更多
关键词 charpy impact curve fitting I-kaz signal and strain
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